Least Common Multiple of 290/37, 401/2708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 290/37, 401/2708 quickly i.e. 116290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/37, 401/2708 is 116290.

LCM(290/37, 401/2708) = 116290

LCM of 290/37, 401/2708

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 290/37,401/2708

Given numbers are 290/37,401/2708

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 290,401

Least Common Multiple of Numerators i.e. LCM of 290,401 is 116290.

GCF of Denominators means GCF of 37,2708 as per the given fractions.

GCF of 37,2708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,401

LCM of Fractions 290/37,401/2708 is 116290

Given numbers has no common factors except 1. So, there LCM is their product i.e 116290

Least Common Multiple of 290,401 with GCF Formula

Least Common Multiple of 290,401 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 290,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,401) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(290,401) x common factors =1 x 1 = 1

LCM(290,401) = ( 290 × 401 ) / 1

LCM(290,401) = 116290 / 1

LCM(290,401) = 116290


Lets's calculate GCF of 37,2708

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116290/1

Therefore the LCM of Fractions 290/37,401/2708 is 116290

Greatest Common Factor of 37,2708 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,2708 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 2708

List of positive integer factors of 2708 that divides 2708 without a remainder.

1,2,4,677,1354,2708

Greatest Common Factor

We found the factors 37,2708 . The biggest common factor number is the GCF number.
So the greatest common factor 37,2708 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 290/37, 401/2708

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 290/37, 401/2708?

Answer: LCM of Numerators as per given numbers 290/37, 401/2708 is

LCM of Numerators i.e. for 290,401 is 116290

GCF of denominators i.e. for 37,2708 is 1.

Thus, LCM of Fractions is 116290.Finally, LCM of Fractions for 290/37, 401/2708 is 116290.